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Finding the Third Proportional to 355,512 and 546,462

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Solution

The third proportional to 355,512 and 546,462 is: 839,973.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,512 : 546,462 = 546,462 : x
  2. Step 2: Convert to fraction form
    355,512/546,462 = 546,462/x
  3. Step 3: Cross multiply
    355,512x = 546,462 × 546,462
  4. Step 4: Simplify right side
    355,512x = 298,620,717,444
  5. Step 5: Solve for x
    x = 298,620,717,444/355,512
  6. Step 6: Final answer
    x = 839,973.66

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.